Nope what are these links supposed to be proof otherwise let me look *BRB* Well that was fast, I am not taking their sites off my adblock. So No the President tweets aren't officially anything. People can argue otherwise but there is not legal definition that supports it. In certain instances of emergency Trump could as president. But Twitter is not clearly officially anything, because Twitter is private property, SO NO, as much as I am thrilled to give Trump shit.
This lawsuit isn't going to go anywhere.